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Finding the Fourth Proportional to 7,116.40, 9,820.65 and 3,972.79

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Solution

The fourth proportional to 7,116.40, 9,820.65 and 3,972.79 is: 5,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.40 : 9,820.65 = 3,972.79 : x
  2. Step 2: Convert to fraction form
    7,116.40/9,820.65 = 3,972.79/x
  3. Step 3: Cross multiply
    7,116.40x = 9,820.65 × 3,972.79
  4. Step 4: Simplify right side
    7,116.40x = 39,015,380.11
  5. Step 5: Solve for x
    x = 39,015,380.11/7,116.40
  6. Step 6: Final answer
    x = 5,482.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.